Galerie Dirk Frettlöh

Some cool pictures emanating from my mathematical research. Click the images to enlarge them.
[01-12fdwindwpertil.png]
This 12-fold symmetric fractal
is probably a fundamental
domain of the hexagonal lattice
[02-tapete.png]
Just for fun:
Cool wallpaper

[03-kacheln1.jpg]
A relief version of Danzer's
and my 7-fold trapezoid tiling

[04-pendiff.jpg]
The diffraction image of
a Penrose tiling

[05-rauzyfrac0.jpg]
A Rauzy fractal, belonging to the
one-dim sequence in the picture.

[06-spectr2.jpg]
A chair tiling (top right), its diffraction
image (right), a table tiling (top, blue)
and its diffraction image (left)
[07-sqt.jpg]
The first three iterates of the 12-fold
square-triangle substitution
of Martin Schlottmann
[08-plane-spher-tess.jpg]
Just for fun: Two plane
nonperiodic tilings, one of
them mapped onto the sphere.
[09-colouring.jpg]
A colour symmetry of the vertices
of the Ammann-Beenker tiling
with 8 colours
[10-6fd-fundcell.jpg]
Another fractal, with 6-fold symmetry,
which is probably a fundamental
domain of the hexagonal lattice.
[11-danztil.png]
A 7-fold tiling by Ludwig Danzer.


[12-fract-ammb.jpg]
A version of the Ammann-Beenker tiling
with fractal tiles. Each tile here corresponds
to one vertex in the AB tiling

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